61 citations · 169 across the 15 of their papers we have counts for
15 papers
A continuum of pure states in the Ising model on a halfplane
Douglas Abraham, Charles M. Newman, Senya Shlosman
We study the homogeneous nearest-neighbor Ising ferromagnet on the right half plane with a Dobrushin type boundary condition --- say plus on the top part of the boundary and minus…
Action at a distance in classical uniaxial ferromagnetic arrays
D. B. Abraham, A. Maciołek, A. Squarcini +1
We examine in detail the theoretical foundations of striking long-range couplings emerging in arrays of fluid cells connected by narrow channels by using a lattice gas (Ising model…
Apparent first-order wetting and anomalous scaling in the two-dimensional Ising model
X. T. Wu, D. B. Abraham, J. O. Indekeu
The global phase diagram of wetting in the two-dimensional (2d) Ising model is obtained through exact calculation of the surface excess free energy. Besides a surface field for ind…
Quasi-One-Dimensional Thermal Breakage
Cristiano Nisoli, Douglas Abraham, Turab Lookman +1
Breakage is generally understood in mechanical terms, yet nano-structures can rupture not only under external loads but also via thermal activation. Here we treat in a general fram…
Surface states and the thermal Casimir interaction
Douglas B. Abraham, Anna Maciolek
Using exact calculations, we elucidate the significance of the surface (bound) states for the thermal Casimir interactions for an Ising strip with a finite width. The surface state…
Computational Study of a Multistep Height Model
Matthew Drake, Jon Machta, Youjin Deng +2
An equilibrium random surface multistep height model proposed in [Abraham and Newman, EPL, 86, 16002 (2009)] is studied using a variant of the worm algorithm. In one limit, the mod…